Question

1. sam has a goal of walking 4 ½ miles by the end of the day. he walks 2 ¼ miles before lunch and 1 ½ miles after resting. what is the remaining distance, in miles, that sam needs to walk to reach his goal?

Explanation:

Step1: Identify total and walked distances

Total goal: $4\frac{1}{2}$ miles. Walked before lunch: $2\frac{1}{4}$ miles. Walked after resting: $1\frac{1}{2}$ miles.

Step2: Convert mixed numbers to improper fractions

$4\frac{1}{2} = \frac{9}{2}$, $2\frac{1}{4} = \frac{9}{4}$, $1\frac{1}{2} = \frac{3}{2}$.

Step3: Sum the walked distances

$\frac{9}{4} + \frac{3}{2} = \frac{9}{4} + \frac{6}{4} = \frac{15}{4}$.

Step4: Subtract from total goal

$\frac{9}{2} - \frac{15}{4} = \frac{18}{4} - \frac{15}{4} = \frac{3}{4}$.

Answer:

$\frac{3}{4}$ miles